On a multi-parametric generalization of the uniform zero-two law in L1-spaces

Farrukh Mukhamedov

doi:10.4134/BKMS.2015.52.6.1819

On a multi-parametric generalization of the uniform zero-two law in L¹-spaces

Farrukh Mukhamedov

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Following an idea of Ornstein and Sucheston, Foguel proved the so-called uniform “zero-two” law: let T: L¹(X, F, μ) → L¹(X,F, μ) be a positive contraction. If for some m ∈ N∪{0} one has ║T^m+1−T^m║ < 2, then (formula presented)There are many papers devoted to generalizations of this law. In the present paper we provide a multi-parametric generalization of the uniform zero-two law for L¹-contractions.

Original language	English
Pages (from-to)	1819-1826
Number of pages	8
Journal	Bulletin of the Korean Mathematical Society
Volume	52
Issue number	6
DOIs	https://doi.org/10.4134/BKMS.2015.52.6.1819
Publication status	Published - 2015
Externally published	Yes

Keywords

Multi parametric
Positive contraction
“Zero-two” law

ASJC Scopus subject areas

General Mathematics

Access to Document

10.4134/BKMS.2015.52.6.1819

Cite this

@article{7770a89171b94215b39ee97949c1e5f8,

title = "On a multi-parametric generalization of the uniform zero-two law in L1-spaces",

abstract = "Following an idea of Ornstein and Sucheston, Foguel proved the so-called uniform “zero-two” law: let T: L1(X, F, μ) → L1(X,F, μ) be a positive contraction. If for some m ∈ N∪\{0\} one has ║Tm+1−Tm║ < 2, then (formula presented)There are many papers devoted to generalizations of this law. In the present paper we provide a multi-parametric generalization of the uniform zero-two law for L1-contractions.",

keywords = "Multi parametric, Positive contraction, “Zero-two” law",

author = "Farrukh Mukhamedov",

note = "Publisher Copyright: {\textcopyright} 2015 Korean Mathematical Society.",

year = "2015",

doi = "10.4134/BKMS.2015.52.6.1819",

language = "English",

volume = "52",

pages = "1819--1826",

journal = "Bulletin of the Korean Mathematical Society",

issn = "1015-8634",

publisher = "Korean Mathematical Society",

number = "6",

}

TY - JOUR

T1 - On a multi-parametric generalization of the uniform zero-two law in L1-spaces

AU - Mukhamedov, Farrukh

PY - 2015

Y1 - 2015

N2 - Following an idea of Ornstein and Sucheston, Foguel proved the so-called uniform “zero-two” law: let T: L1(X, F, μ) → L1(X,F, μ) be a positive contraction. If for some m ∈ N∪{0} one has ║Tm+1−Tm║ < 2, then (formula presented)There are many papers devoted to generalizations of this law. In the present paper we provide a multi-parametric generalization of the uniform zero-two law for L1-contractions.

AB - Following an idea of Ornstein and Sucheston, Foguel proved the so-called uniform “zero-two” law: let T: L1(X, F, μ) → L1(X,F, μ) be a positive contraction. If for some m ∈ N∪{0} one has ║Tm+1−Tm║ < 2, then (formula presented)There are many papers devoted to generalizations of this law. In the present paper we provide a multi-parametric generalization of the uniform zero-two law for L1-contractions.

KW - Multi parametric

KW - Positive contraction

KW - “Zero-two” law

UR - https://www.scopus.com/pages/publications/84949206770

UR - https://www.scopus.com/pages/publications/84949206770#tab=citedBy

U2 - 10.4134/BKMS.2015.52.6.1819

DO - 10.4134/BKMS.2015.52.6.1819

M3 - Article

AN - SCOPUS:84949206770

SN - 1015-8634

VL - 52

SP - 1819

EP - 1826

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 6

ER -